361363072752 has 240 divisors, whose sum is σ = 1147997380608. Its totient is φ = 105150789120.

The previous prime is 361363072723. The next prime is 361363072757. The reversal of 361363072752 is 257270363163.

361363072752 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 630 + 7 + 2 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361363072698 and 361363072707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361363072757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899953 + ... + 3991535.

Almost surely, 2^361363072752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361363072752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573998690304).

361363072752 is an abundant number, since it is smaller than the sum of its proper divisors (786634307856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361363072752 is a wasteful number, since it uses less digits than its factorization.

361363072752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91708 (or 91699 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 361363072752 in words is "three hundred sixty-one billion, three hundred sixty-three million, seventy-two thousand, seven hundred fifty-two".